document.write( "Question 627322: My age is 26, my cousin age is 10. At what age will we be when I am three times his age? What is the equation for that. \n" ); document.write( "
Algebra.Com's Answer #394855 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let x = number of years\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So in x years, you will be 26+x and your cousin will be 10+x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You want to know when you'll be 3 times his age. So ...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your age in x years = 3*(Cousin's age in x years)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "26+x = 3*(10+x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the equation is 26+x = 3*(10+x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "Let's solve for x\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "26+x = 3*(10+x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "26+x = 30+3x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "26-30 = 3x-x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-4 = 2x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-4/2 = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-2 = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So because we got a negative number, you will NEVER be 3 times your cousins age after this point in time.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The result of -2 means you WERE 3 times his age 2 years ago since you were 26-2 = 24 yrs old and your cousin was 10-2 = 8 yrs old (notice how 24 = 8*3). \n" ); document.write( "So after this point in time, you'll never be 3 times your cousin's age (since it only happens once).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------------------------------------------------------------- \n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim \n" ); document.write( "-------------------------------------------------------------------------------------------------------------- \n" ); document.write( " |